The graph of one period of sin is given below. Use the graph to match each value of 0 with the
correct approximate value of sin(0). Make sure to explain how you found your answers in your
work.
60 degrees
300 degrees
90 degrees
-0.5
-1
-0.8
1
0.5
0.8
To match each value of 0 with the correct approximate value of sin(0), we need to look at the graph of one period of sin and identify the corresponding values of sin(0) at 60 degrees, 300 degrees, and 90 degrees.
From the graph of sin, we can see that sin(0) is equal to 0 at 0 degrees. So, we can use this information to find the values of sin(0) at the given angles:
- At 60 degrees, sin(60) is approximately 0.5
- At 300 degrees, sin(300) is approximately -0.5
- At 90 degrees, sin(90) is approximately 1
Therefore, the matches are:
- 60 degrees ≈ 0.5
- 300 degrees ≈ -0.5
- 90 degrees ≈ 1